Rational Function and Equation

Left Side

Numerator

Denominator

Right Side

a point on a graph that intersects x-axis

a point on a graph that intersects y-axis.

an imaginary line that a function never touches

a line that divides a graph of a function into two symmetrical parts.

x = 3        y = -1

x = -3        y = 1

x = -3        y = -1

x = 3        y = 1

x = 2

y = 2

x = -3

y = -2

y = 1

x = -2

x = 2

y = -1

x = 5

x = -4

y = 0

x = 4

x = ________________

f(x) = ______________

y = ________________

$y\backslash \; =\backslash \; \backslash frac\{x\}\{-3\}$

$y\backslash \; =\backslash \; \backslash frac\{1\}\{x-3\}$

$y\backslash \; =\backslash \; \backslash frac\{3\}\{x\}$

$y\backslash \; =\backslash \; \backslash frac\{1\}\{x+3\}$

$f\backslash left(x\backslash right)\backslash \; =\backslash \; \backslash frac\{1\}\{x-2\}$

$f\backslash left(x\backslash right)\backslash \; =\backslash \; \backslash frac\{-2\}\{x\}$

$f\backslash left(x\backslash right)\backslash \; =\backslash \; \backslash frac\{1\}\{x+2\}$

$f\backslash left(x\backslash right)\backslash \; =\backslash \; \backslash frac\{x-2\}\{x\}$